Finding the Third Proportional to 1,657.87 and 3,517.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,657.87 : 3,517.57 = 3,517.57 : x
2. Step 2: Convert to fraction form
   1,657.87/3,517.57 = 3,517.57/x
3. Step 3: Cross multiply
   1,657.87x = 3,517.57 × 3,517.57
4. Step 4: Simplify right side
   1,657.87x = 12,373,280.29
5. Step 5: Solve for x
   x = 12,373,280.29/1,657.87
6. Step 6: Final answer
   x = 7,463.36